On the Regularity of Weak Solutions to Time-Periodic Navier–Stokes Equations in Exterior Domains

Autor:	Thomas Eiter
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	time-periodic solutions weak solutions exterior domain regularity criterion Serrin condition Oseen problem Mathematics QA1-939
Zdroj:	Mathematics, Vol 11, Iss 1, p 141 (2022)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math11010141
Popis:	Consider the time-periodic viscous incompressible fluid flow past a body with non-zero velocity at infinity. This article gives sufficient conditions such that weak solutions to this problem are smooth. Since time-periodic solutions do not have finite kinetic energy in general, the well-known regularity results for weak solutions to the corresponding initial-value problem cannot be transferred directly. The established regularity criterion demands a certain integrability of the purely periodic part of the velocity field or its gradient, but it does not concern the time mean of these quantities.
Databáze:	Directory of Open Access Journals
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